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Questions about the properties of vector spaces and linear transformations, including linear systems in general.

3 votes
1 answer
83 views

Detecting linear operator from actions of powers on subspace

Say I have a sequence of linear operators $A_1,...,A_n$ on a (real) vector space $V_1$. I suspect that there's a second vector space $V_2$, and an operator $A$ on $V_1\oplus V_2$, such that $A_i=(\pi_ …
Dror Speiser's user avatar
  • 4,593
1 vote

Find a matrix's nullspace from submatrix nullspace

Yes. You will need to apply $A$ fewer times to get the linear dependence of the rightmost columns.
Dror Speiser's user avatar
  • 4,593